Question

The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures the motivation, attitude, and study habits of college students. Scores range from 0 to 200 and follow (approximately) a Normal distribution with a mean of 115 and a standard deviation of 25. You suspect that incoming freshmen at your school have a mean μ, which is different from 115 because they are often excited yet anxious about entering college. To test your suspicion, you decide to test the hypotheses H0: μ = 115 versus Ha: μ ≠ 115. You give the SSHA to 25 incoming freshmen and find their mean score to be 116.2. What is the value of the test statistic? Group of answer choices 0.81040.11510.40520.2302

Answer 1

0.24

Explanation:

Test statistic (t-score) for the25 incoming freshmen mean sample score can be found using the formula:

t=
`(X-M)/((s)/(√(N) ) )` where

• X is sample mean (116.2)
• M is the mean in null hypothesis (115)
• s is standard deviation (25)
• N is the sample size (25)

putting these numbers in formula we get

t=
`(116.2-115)/((25)/(√(25) ) )` =0.24